Geodesic
Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1079-1092

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In the paper the inverse problem for the nonstationary radiative transfer equation is formulated and investigated. It consists in determining the discontinuity surfaces of the scattering coefficient by the time-angular distribution of the radiation flux density at a given point in space. A numerical method for localizing the lines of discontinuity of the required coefficient in any plane is proposed. On a number of numerical experiments applied to high-frequency acoustic sounding of an inhomogeneous fluctuating ocean, the operability of the algorithm is demonstrated and its shortcomings due to the measurement data error are indicated.
Keywords: radiative transfer equation, inverse problem, scattering coefficient, function discontinuity surfaces. 
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     author = {P. A. Vornovskikh and I. V. Prokhorov},
     title = {Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1079--1092},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a57/}
}
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P. A. Vornovskikh; I. V. Prokhorov. Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1079-1092. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a57/